Putting aside the equations (and the maths) for a minute, the constraints bounding all of this are:
- the Conservation of Momentum;
- the Conservation of Energy;
- the constant speed of light in a vacuum.
Momentum, (a measure of the quantity motion), is actually boundless (in classical Physics), and can be made to increase without limit. If velocity is limited by c, then the only variable left is m. Which is why m has to increase with increasing motion.
This all then changes, when viewed from a non-comoving frame of reference (which then reconciles it with Relativity).
… (my 2 cents worth, anyway … and how it makes sense to me, in Classical Physical terminology).
Cheers
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